On the κ-Dirac oscillator revisited

Andrade, Fabiano M.; Silva, E.O.; Ferreira, Manoel M.; Rodrigues, E.C.

doi:10.1016/j.physletb.2014.02.054

Cited by 43 publications

(27 citation statements)

References 56 publications

(72 reference statements)

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“…The Dirac oscillator was investigated for a spin-1/2 particle in the presence of topological defects in Refs. [10][11][12][13][14][15][16][17][18]. However, these studies were carried out for the quantum dynamics of spin-1/2 particles, leaving a gap in the treatment of harmonic interaction for relativistic scalar particles.…”

Section: Introductionmentioning

confidence: 99%

Klein–Gordon oscillator in Kaluza–Klein theory

et al. 2016

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In this contribution we study the Klein-Gordon oscillator on the curved background within the Kaluza-Klein theory. The problem of the interaction between particles coupled harmonically with topological defects in Kaluza-Klein theory is studied. We consider a series of topological defects, then we treat the Klein-Gordon oscillator coupled to this background, and we find the energy levels and corresponding eigenfunctions in these cases. We show that the energy levels depend on the global parameters characterizing these spacetimes. We also investigate a quantum particle described by the Klein-Gordon oscillator interacting with a cosmic dislocation in Som-Raychaudhuri spacetime in the presence of homogeneous magnetic field in a Kaluza-Klein theory. In this case, the energy spectrum is determined, and we observe that these energy levels represent themselves as the sum of the terms related with Aharonov-Bohm flux and of the parameter associated to the rotation of the spacetime.

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Section: Introductionmentioning

confidence: 99%

Klein–Gordon oscillator in Kaluza–Klein theory

et al. 2016

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“…[32] and for other contributions see Refs. [33][34][35][36][37][38][39]. The Dirac oscillator embedded in a cosmic string background has inspired a great deal of research in last years [40][41][42][43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Quantum dynamics of scalar bosons in a cosmic string background

Castro

2015

Eur. Phys. J. C

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The quantum dynamics of scalar bosons embedded in the background of a cosmic string is considered. In this work, scalar bosons are described by the Duffin-KemmerPetiau (DKP) formalism. In particular, the effects of this topological defect in the equation of motion, energy spectrum, and DKP spinor are analyzed and discussed in detail. The exact solutions for the DKP oscillator in this background are presented in closed form.

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“…The 3D Dirac oscillator has been discussed in connection with the theory of quantum deformations in Ref. [48]. However, it is well known that the 2D Dirac oscillator exhibits a dynamics completely different from that of 3D one.…”

Section: Introductionmentioning

confidence: 99%